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Finding the Fourth Proportional to 16,405.84, 22,641.16 and 10,118.48

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Solution

The fourth proportional to 16,405.84, 22,641.16 and 10,118.48 is: 13,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.84 : 22,641.16 = 10,118.48 : x
  2. Step 2: Convert to fraction form
    16,405.84/22,641.16 = 10,118.48/x
  3. Step 3: Cross multiply
    16,405.84x = 22,641.16 × 10,118.48
  4. Step 4: Simplify right side
    16,405.84x = 229,094,124.64
  5. Step 5: Solve for x
    x = 229,094,124.64/16,405.84
  6. Step 6: Final answer
    x = 13,964.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.